L1/2-constrained morphological component analysis

In this paper, we introduce the l_1/2 constraint into the morphological component analysis (MCA) to solve the problem of cartoon and texture separation, inpainting and super-resolution for images. The newly proposed iterative half thresholding algorithm is recast in an analysis formulation, and can be well embedded in the MCA framework. Other constraint, such as total variation (TV), can also be combined to enhance the restoration of this modified MCA method. The superiority of the proposed l_1/2-constrained MCA method is demonstrated by experimental results.